Coordinate
Algebra
The equation for the speed of a ball that is thrown straight up in the air is given by
y=46-321 where v is the velocity (feet per second) and t is the number of seconds after
the ball is thrown. What does the y-intercept represent in this context?
A The y-intercept indicates that when the ball was released at t=0, it was thrown upward
at 46 feet per second.
B The y-intercept indicates that when the ball was released at t=0, it was thrown upward
at 32 feet per second.
C The y-intercept indicates that when the ball was released at t= 1, it was thrown upward
at 46 feet per second.
D The y-intercept indicates that when the ball was released at t= 1, it was dropped from
32 feet.

Answer: 5,000 calories

Step-by-step explanation:

Subtract both

Answer:

B) y = 12x + 45

Step-by-step explanation:

45 is the amount of money he has to open it and deposits  12 dollars each month. x is the number of times he deposits. y is the total amount of money he has.

The formula for the margin of error in a confidence interval is:
Margin of error = (Z-score) x (standard deviation of the population) / √(sample size)
The formula for the confidence interval is:
Confidence interval = sample mean ± margin of error
The formula for the Z-score is:
Z-score = (x - μ) / (σ / √n)
Where:
x = the sample mean
μ = the population mean
σ = the population standard deviation
n = the sample size

We can combine the formulas to solve the problem:
109.08 = x - (Z-score) x (5.68 / √n)
111.36 = x + (Z-score) x (5.68 / √n)
Subtract the first equation from the second equation:
2.28 = 2 x (Z-score) x (5.68 / √n)
Simplify:
Z-score = 2.28 / (2 x 5.68 / √n) = 0.8√n
Find the Z-score corresponding to a 95% confidence level (two-tailed):
Z-score = 1.96
Substitute in the equation:
0.8√n = 1.96
Solve for n:
n = (1.96 / 0.8)² = 6.07
Round up to the nearest whole number:
n = 7
Therefore, the correct answer is: For a sample size of 7, 95% of the sample means fall within the interval between 109.08 and 111.36.

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Answer:

Kindly check explanation

Step-by-step explanation:

Given the expression :

Jacob's yearly income :

2000x + 3000 ; x = number of hours worked per week.

Carlos income :

3800x - 40000

Managers prediction = 35

Jacob.: 2000(35) + 3000 = 73000

Carlos : 3800(35) - 40000 = 93000

Carlos will earn more than Jacob given the manager's prediction.

Number of hours required so they can earn the same amount :

2000x + 3000 = 3800x - 40000

3000 + 40000 = 3800x - 2000x

43000 = 1800x

x = 43000/1800

x = 23.88

x = 24 hours

The best method to analyze the data would be the Kruskal-Wallis test.

The Kruskal-Wallis test is a non-parametric test used to determine if there are significant differences between two or more groups of an independent variable on a continuous or ordinal dependent variable. In this case, the independent variable is age group (less than 30 years, 30 to 55 years, and over 55 years), and the dependent variable is blood pressure. Since the Kruskal-Wallis test can compare more than two groups, it is an appropriate choice for this study, as it allows us to determine if there are significant differences in blood pressure across all three age groups.

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Answer:

23: 21\(\frac{23}{55}\)  25: 1\(\frac{44}{45}\)

Step-by-step explanation:

Question 23:

1) add the whole numbers together: 15+5=20

2)To add fractions, both need to have the same denominator. Find a number that is a multiple of both denominators (in this case 55)

\(\frac{9}{11}\) → \(\frac{45}{55}\) (multiply the numerator and denominator by 5)

\(\frac{3}{5}\) → \(\frac{33}{55}\) (multiply the numerator and denominator by 11)

3) add the fractions together

\(\frac{45}{55}\) + \(\frac{33}{55}\) = \(\frac{78}{55}\) (add the numerators)

4) Turn the improper fraction into a mixed number

Divide 78 by 55. You'll get a whole number and a remainder. The remainder is the new numerator: In this case 55 enters 78 once with a remainder of 23. Therefore:

1\(\frac{23}{55}\)

5) Add the whole numbers together to get the final answer:

20+1= 21

Answer: 21\(\frac{23}{55}\)

Question 25:

Follow the above steps but subtract instead of adding

Answer:

2334

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Angle IAJ

Step-by-step explanation:

X idea again. They are opposite to each other in the immediate area around them.

Answer:

True.

Explanation:

When solving equations with unknowns on both sides, it is generally recommended to first deal with the variable terms before dealing with the constant terms. This involves simplifying the equation by combining like terms and isolating the variable on one side of the equation. Once the variable is isolated, you can then solve for its value.\(\)

Answer:

a. 134 degrees

b. 46 degrees

c. 134 degrees

Step-by-step explanation:

For a:

For b:

For c:

I hope this helps!

Step-by-step explanation:

m<4. 180°-46°= 134°

m<2. 134°

The simplest way to perform a division is long division and synthetic division.

What is division?

Division in mathematics is the process of dividing an amount into equal parts. For instance, we may split a group of 20 people into four groups of 5, five groups of 4, and so on.

There are two methods to perform division:

Long division: The mathematical procedure for splitting big numbers into more manageable groups or sections is known as long division. A difficulty can be solved by breaking it down into manageable parts. Dividends, divisors, quotients, and remainders all exist in long divisions.

Synthetic division: In algebra, synthetic division is a technique for manually dividing polynomials according to Euclid, requiring less writing and calculation than long division. Although the approach can be applied to division by any polynomial, it is often taught for division by linear monic polynomials.

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Answer:

1 1/4 cups of sugar

Step-by-step explanation:

5/6 x 1 1/2 = 1 1/4

Answer:

5/4 cup of sugar.

Step-by-step explanation:

The recipe calls for 5/6 of a cup of sugar, so if you're making 1.5 times what the recipe calls for, you multiply 5/6 by 3/2 (or 1.5 if you prefer decimals) which would give you 15/12. Then simplify down to get 5/4 (or 1.25) cups of sugar.

Note: 5/4 also equals 1 1/4, they are both correct, it just depends on which way you choose to write it, or how your teacher wants you to write it.

TCP provides error checking to ensure reliable data delivery, making option A the correct answer. Only the propagation delay is not caused by the store-and-forward strategy employed by switching devices.

TCP (Transmission Control Protocol) provides error checking as part of its services. It ensures reliable data delivery by using acknowledgments and sequence numbers to detect and recover from packet loss, errors, or out-of-order delivery. When a TCP receiver receives data, it sends an acknowledgment (ACK) back to the sender to confirm the successful reception of packets. If the sender does not receive an ACK for a particular packet within a specified timeout period, it assumes the packet was lost or damaged and retransmits it.

TCP provides error checking to ensure reliable data delivery, making option A the correct answer.

The propagation delay is the time it takes for a signal to travel from the source to the destination. It is determined by the physical distance between the devices and the speed of signal propagation in the transmission medium. The propagation delay is an inherent characteristic of the medium and cannot be eliminated by switching devices or other strategies.

The other three options—processing delay, queuing delay, and transmission delay—are all caused by the store-and-forward strategy used by switching devices. Processing delay refers to the time taken to examine and process the packet headers. Queuing delay occurs when packets have to wait in a queue before being transmitted. Transmission delay is the time it takes to push the bits onto the transmission medium.

Among the given options, only the propagation delay is not caused by the store-and-forward strategy employed by switching devices.

3. The correct answer is A. The system is very well-engineered.

In a statistical multiplexing system, the queuing delay is the delay experienced by packets waiting in a queue before being transmitted. If the average queuing delay is very close to zero, it indicates that the system is well-engineered and efficiently managing its resources. A well-designed system can minimize or eliminate queuing delays by appropriately allocating resources and ensuring efficient scheduling algorithms.

Traffic intensity, which represents the ratio of the average traffic load to the transmission capacity, does not directly determine the queuing delay. It is possible to have low queuing delays even with high traffic intensity if the system is well-designed.

When the average queuing delay is close to zero, it suggests that the system is well-engineered and efficiently utilizing its resources, as stated in option A.

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Answer:

this answer is going to a 20 out of 100 percent

the answer is C or D

Answer:

A. Angle C = Angle C'

Step-by-step explanation:

It cannot be B because that would make them congruent by ASA, so it has to be A because C and D are both sides.

To find the length of the curve given by r(t) = cos(7t) i + sin(7t) j + 7 ln(cos(t)) k, 0 ≤ t ≤ π/4, we need to use the formula for arc length:

L = ∫[a,b] √[dx/dt]^2 + [dy/dt]^2 + [dz/dt]^2 dt

In this case, we have:

dx/dt = -7 sin(7t)
dy/dt = 7 cos(7t)
dz/dt = -7 sin(t) / cos(t)

So,

[dx/dt]^2 + [dy/dt]^2 + [dz/dt]^2 = 49 sin^2(7t) + 49 cos^2(7t) + 49 sin^2(t) / cos^2(t)
= 49 [sin^2(7t) + cos^2(7t) + sin^2(t) / cos^2(t)]
= 49 [1 + sin^2(t) / cos^2(t)]

Now, using the identity sin^2(t) + cos^2(t) = 1, we can rewrite this as:

[dx/dt]^2 + [dy/dt]^2 + [dz/dt]^2 = 49 cos^2(t)

Therefore, the length of the curve is:

L = ∫[0,π/4] √[dx/dt]^2 + [dy/dt]^2 + [dz/dt]^2 dt
= ∫[0,π/4] 7 cos(t) dt
= 7 [sin(t)]|[0,π/4]
= 7 sin(π/4) - 7 sin(0)
= 7 (√2/2)
= 7√2/2

So the length of the curve is 7√2/2.

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Answer:

\(\huge\boxed{\sf x = 10}\)

Step-by-step explanation:

Hypotenuse = x

Base = 4

Perpendicular = \(\sqrt{84}\)

Using Pythagoras Theorem:

\(\sf H^2 = P^2 + B^2\\\\ x^2 = (\sqrt{84} )^2 + (4)^2\\\\x^2 = 84 + 16\\\\x^2 = 100\\\\Taking \ sq \ root \ on \ both \ sides\\\\x = 10\\\\\rule[225]{225}{2}\)

Hope this helped!

Answer:

7/6

Step-by-step explanation:

p=3/4*q

q=14/9*r

so p=3/4*14/9r=7/6r

We have a differential equation as 6x5sin(2x)y′′−2x2cos(6x)y′=0 given that y1=2 and y2=cos2(6x) sin2(6x) are the solutions.

To prove this we can check whether both solutions satisfy the given differential equation or not. We know that the second derivative of y with respect to x is the derivative of y with respect to x and is denoted as "y′′. Now, we take the derivative of y1 and y2 twice with respect to x to check whether both are the solutions or not. Finding the derivatives of y1:Since y1 = 2, we know that the derivative of any constant is zero and is denoted as d/dx [a] = 0. Therefore, y′ = 0 . Now, we can differentiate the derivative of y′ and obtain y′′ as d2y1dx2=0. Thus, y1 satisfies the given differential equation. Finding the derivatives of y2:Now, we take the derivative of y2 twice with respect to x to check whether it satisfies the given differential equation or not. Differentiating y2 with respect to x, we get y′=12sin(12x)cos(12x)−12sin(12x)cos(12x)=0. Differentiating y′ with respect to x, we get y′′=−6sin(12x)cos(12x)−6sin(12x)cos(12x)=−12sin(12x)cos(12x)Therefore, y2 satisfies the given differential equation.
Hence, both y1 = 2 and y2 = cos^2(6x) sin^2(6x) are the solutions to the given differential equation 6x^5 sin(2x)y′′ − 2x^2 cos(6x)y′ = 0. Both y1 = 2 and y2 = cos^2(6x) sin^2(6x) are the solutions to the given differential equation 6x^5 sin(2x)y′′ − 2x^2 cos(6x)y′ = 0. To prove this, we checked whether both solutions satisfy the given differential equation or not. We found that the second derivative of y with respect to x is the derivative of y with respect to x and is denoted as y′′. We differentiated the y1 and y2 twice with respect to x and found that both y1 and y2 satisfy the given differential equation. Both y1 = 2 and y2 = cos^2(6x) sin^2(6x) are the solutions to the given differential equation.

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The solution to the system of equations is the point where the two graphs intersect. In this case, the graphs intersect at the point (1, 5).

The graph of f(x) = absolute value of x - 4, plus 2 is a parabola that opens upwards. The graph of g(x) = 3x + 2 is a straight line with a slope of 3 and a y-intercept of 2.

The two graphs intersect when the value of f(x) is equal to the value of g(x). This occurs when x = 1.

Therefore, the solution to the system of equations is the point (1, 5).

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Answer:

Below

Step-by-step explanation:

The missing step is the factorization of the quadratic

(x+3)(x+2)  

The probability of choosing an even number followed by an odd number is 5/18.

Total number of possible outcomes: Since there are 10 cards numbered from 1 to 10, there are a total of 10 possible outcomes when choosing the first card.

Number of favorable outcomes:

- For the first card, there are 5 even numbers (2, 4, 6, 8, 10) out of 10 total cards.

- After choosing an even number, there are 5 odd numbers (1, 3, 5, 7, 9) remaining out of the remaining 9 cards.

To calculate the probability, we divide the number of favorable outcomes by the total number of possible outcomes:

Probability = (Number of favorable outcomes) / (Total number of possible outcomes)

= (5/10) * (5/9)

= 25/90

= 5/18

Therefore, the probability of choosing an even number followed by an odd number is 5/18.

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Thee volume of the cone has a value of 1, 739. 60 cubic feet

The formula for calculating the volume of a cone is expressed as;

V = πr²h/3

Where;

From the information given, we have the values as;

Diameter = 19

But radius = Diameter/2

Now, radius = 18. 7/2 = 9.35 ft

Substitute the values into the formula

Volume = 3. 142( 9.35)² × 19/3

Find the value of the square

Volume = 3. 142(87. 42) × 6. 3

Multiply the values

Volume = 1, 739. 60 cubic feet

Hence, the value is 1, 739. 60 cubic feet

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Derivative of log(tanhx) = 2cossec(2x)

Let us assume y = log (tan hx)

On differentiating both sides ,

\( \frac{dy}{dx \: } = \frac{d \: log(tanhx)}{dx} \)

\( \frac{dy}{dx} = \frac{d log( \tan(hx) ) }{d \tan(hx).d \tan(hx) } \times dx\)

\( \frac{dy}{dx} = \frac{1}{ \tan(hx) \times \sec( {h}^{2x} ) } \)

\( \frac{dy}{dx} = \frac{ \cos(hx) }{ \sin(hx) } \times \frac{1 }{ \cos(h {}^{2} ) } \)

\( \frac{dy}{dx} = \frac{2}{2 \sin(hx). \cos(hx) } \)

\( \frac{dy}{dx} = \frac{2}{ \sin(h)(2x) } \)

dy/dx = 2 cos sec (2x)

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Answer:

y=5x-6

Step-by-step explanation:

Comparing y=5x-6 with y=mx+c,the slope is 5 and y intercept is-6

Answer:

-13x^2+8x-3

Step-by-step explanation:

\((3x-5-7x^2)-(-2+6x^2-5x)\\3x-5-7x^2+2-6x^2+5x\\-13x^2 + 8x - 3\)

Step-by-step explanation:

Step one:

The farmer sells his corn for $230 a metric ton

small surcharge = $25.

let the amount per metric ton be x

and let the total cost per x metric ton be y

the total cost function is

y=230x+25--------------1

The neighbor sells her corn for $230 a metric ton

he gives $15 rebate------A rebate is a partial refund of the cost of an item

let the amount per metric ton be x

and let the total cost per x metric ton be y

the total cost function is

y=230x-15----------------2

Step two:

Equating the two equation above

230x+25=230x-15

230x-230x=25+15

0=40

The result shows that based on the cost function of both farmer, there will never be an amount of corn that would make them have the same cost

Answer:

Step-by-step explanation:

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